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Finding the Fourth Proportional to 7,601.16, 10,490.38 and 4,457

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Solution

The fourth proportional to 7,601.16, 10,490.38 and 4,457 is: 6,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.16 : 10,490.38 = 4,457 : x
  2. Step 2: Convert to fraction form
    7,601.16/10,490.38 = 4,457/x
  3. Step 3: Cross multiply
    7,601.16x = 10,490.38 × 4,457
  4. Step 4: Simplify right side
    7,601.16x = 46,755,623.66
  5. Step 5: Solve for x
    x = 46,755,623.66/7,601.16
  6. Step 6: Final answer
    x = 6,151.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.